13320311313006 has 96 divisors (see below), whose sum is σ = 30484333152000. Its totient is φ = 4191936033024.

The previous prime is 13320311312993. The next prime is 13320311313017. The reversal of 13320311313006 is 60031311302331.

13320311313006 is a `hidden beast` number, since 1 + 3 + 32 + 0 + 311 + 313 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190639305 + ... + 190709163.

It is an arithmetic number, because the mean of its divisors is an integer number (317545137000).

Almost surely, 2^{13320311313006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320311313006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242166576000).

13320311313006 is an abundant number, since it is smaller than the sum of its proper divisors (17164021838994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13320311313006 is a wasteful number, since it uses less digits than its factorization.

13320311313006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71798 (or 71795 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13320311313006 its reverse (60031311302331), we get a palindrome (73351622615337).

The spelling of 13320311313006 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, three hundred thirteen thousand, six".